On Tuesday, April 11, 2017 at 3:16:07 PM UTC-6, Paul wrote:
In checkless chess, what happens if a player has moves available which would
be legal in normal chess, but all such moves check without checkmating.
Is it then stalemate?

Looking at A. S. M. Dickins' famous work, I find that "A Fairy Mate is nearly
always required" in Checkless Chess or Prohibition Chess as it is also called.
So the stipulation remains in full force for the final move.

Since the stipulation is that neither side may check except to give mate, if a
player has no legal moves available, that player is indeed stalemated.